Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
3.2.ae_j_ap |
$3$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$1$ |
simple |
3.2.ad_c_b |
$3$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6}$ |
$3$ |
$0$ |
$0$ |
$1$ |
simple |
3.2.ac_c_ad |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$2$ |
1.2.ab $\times$ 2.2.ab_ab |
3.2.a_a_af |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$3$ |
$4$ |
1.2.b $\times$ 2.2.ab_ab |
3.2.a_a_f |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$3$ |
$14$ |
1.2.ab $\times$ 2.2.b_ab |
3.2.c_c_d |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$5$ |
$28$ |
1.2.b $\times$ 2.2.b_ab |
3.2.d_c_ab |
$3$ |
$\F_{2}$ |
$2$ |
$1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6}$ |
$3$ |
$0$ |
$6$ |
$29$ |
simple |
3.2.e_j_p |
$3$ |
$\F_{2}$ |
$2$ |
$1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6}$ |
$3$ |
$0$ |
$7$ |
$71$ |
simple |
3.4.ag_s_abn |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 5 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$14$ |
1.4.ad $\times$ 2.4.ad_f |
3.4.af_s_abp |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 5 x + 18 x^{2} - 41 x^{3} + 72 x^{4} - 80 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$0$ |
$29$ |
simple |
3.4.ac_ad_n |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 2 x - 3 x^{2} + 13 x^{3} - 12 x^{4} - 32 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$3$ |
$29$ |
simple |
3.4.a_a_aj |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 + 3 x + 4 x^{2} )( 1 - 3 x + 5 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$5$ |
$56$ |
1.4.d $\times$ 2.4.ad_f |
3.4.a_a_j |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 + 3 x + 5 x^{2} + 12 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$5$ |
$74$ |
1.4.ad $\times$ 2.4.d_f |
3.4.c_ad_an |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 + 2 x - 3 x^{2} - 13 x^{3} - 12 x^{4} + 32 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$7$ |
$71$ |
simple |
3.4.f_s_bp |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 + 5 x + 18 x^{2} + 41 x^{3} + 72 x^{4} + 80 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$10$ |
$281$ |
simple |
3.4.g_s_bn |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 + 3 x + 4 x^{2} )( 1 + 3 x + 5 x^{2} + 12 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$11$ |
$296$ |
1.4.d $\times$ 2.4.d_f |
3.7.a_a_a |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 + 7 x^{2} )( 1 - 7 x^{2} + 49 x^{4} )$ |
$0$ |
$3$ |
$8$ |
$344$ |
1.7.a $\times$ 2.7.a_ah |
3.8.ak_by_agj |
$3$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )( 1 - 5 x + 17 x^{2} - 40 x^{3} + 64 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$148$ |
1.8.af $\times$ 2.8.af_r |
3.8.ag_bd_adf |
$3$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 6 x + 29 x^{2} - 83 x^{3} + 232 x^{4} - 384 x^{5} + 512 x^{6}$ |
$3$ |
$0$ |
$3$ |
$301$ |
simple |
3.8.ab_ag_bb |
$3$ |
$\F_{2^{3}}$ |
$2$ |
$1 - x - 6 x^{2} + 27 x^{3} - 48 x^{4} - 64 x^{5} + 512 x^{6}$ |
$3$ |
$0$ |
$8$ |
$421$ |
simple |
3.8.a_a_af |
$3$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )( 1 + 5 x + 17 x^{2} + 40 x^{3} + 64 x^{4} )$ |
$3$ |
$0$ |
$9$ |
$508$ |
1.8.af $\times$ 2.8.f_r |
3.8.a_a_f |
$3$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 + 5 x + 8 x^{2} )( 1 - 5 x + 17 x^{2} - 40 x^{3} + 64 x^{4} )$ |
$3$ |
$0$ |
$9$ |
$518$ |
1.8.f $\times$ 2.8.af_r |
3.8.b_ag_abb |
$3$ |
$\F_{2^{3}}$ |
$2$ |
$1 + x - 6 x^{2} - 27 x^{3} - 48 x^{4} + 64 x^{5} + 512 x^{6}$ |
$3$ |
$0$ |
$10$ |
$497$ |
simple |
3.8.g_bd_df |
$3$ |
$\F_{2^{3}}$ |
$2$ |
$1 + 6 x + 29 x^{2} + 83 x^{3} + 232 x^{4} + 384 x^{5} + 512 x^{6}$ |
$3$ |
$0$ |
$15$ |
$1247$ |
simple |
3.8.k_by_gj |
$3$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 + 5 x + 8 x^{2} )( 1 + 5 x + 17 x^{2} + 40 x^{3} + 64 x^{4} )$ |
$3$ |
$0$ |
$19$ |
$1778$ |
1.8.f $\times$ 2.8.f_r |
3.11.aj_cb_aid |
$3$ |
$\F_{11}$ |
$11$ |
$1 - 9 x + 53 x^{2} - 211 x^{3} + 583 x^{4} - 1089 x^{5} + 1331 x^{6}$ |
$3$ |
$0$ |
$3$ |
$659$ |
simple |
3.11.ai_bg_aee |
$3$ |
$\F_{11}$ |
$11$ |
$( 1 - 4 x + 11 x^{2} )( 1 - 4 x + 5 x^{2} - 44 x^{3} + 121 x^{4} )$ |
$3$ |
$0$ |
$4$ |
$632$ |
1.11.ae $\times$ 2.11.ae_f |
3.11.af_ad_cf |
$3$ |
$\F_{11}$ |
$11$ |
$1 - 5 x - 3 x^{2} + 57 x^{3} - 33 x^{4} - 605 x^{5} + 1331 x^{6}$ |
$3$ |
$0$ |
$7$ |
$743$ |
simple |
3.11.a_a_acq |
$3$ |
$\F_{11}$ |
$11$ |
$( 1 + 4 x + 11 x^{2} )( 1 - 4 x + 5 x^{2} - 44 x^{3} + 121 x^{4} )$ |
$3$ |
$0$ |
$12$ |
$1264$ |
1.11.e $\times$ 2.11.ae_f |
3.11.a_a_cq |
$3$ |
$\F_{11}$ |
$11$ |
$( 1 - 4 x + 11 x^{2} )( 1 + 4 x + 5 x^{2} + 44 x^{3} + 121 x^{4} )$ |
$3$ |
$0$ |
$12$ |
$1400$ |
1.11.ae $\times$ 2.11.e_f |
3.11.f_ad_acf |
$3$ |
$\F_{11}$ |
$11$ |
$1 + 5 x - 3 x^{2} - 57 x^{3} - 33 x^{4} + 605 x^{5} + 1331 x^{6}$ |
$3$ |
$0$ |
$17$ |
$1849$ |
simple |
3.11.i_bg_ee |
$3$ |
$\F_{11}$ |
$11$ |
$( 1 + 4 x + 11 x^{2} )( 1 + 4 x + 5 x^{2} + 44 x^{3} + 121 x^{4} )$ |
$3$ |
$0$ |
$20$ |
$2800$ |
1.11.e $\times$ 2.11.e_f |
3.11.j_cb_id |
$3$ |
$\F_{11}$ |
$11$ |
$1 + 9 x + 53 x^{2} + 211 x^{3} + 583 x^{4} + 1089 x^{5} + 1331 x^{6}$ |
$3$ |
$0$ |
$21$ |
$3277$ |
simple |
3.16.al_cg_ajf |
$3$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 11 x + 58 x^{2} - 239 x^{3} + 928 x^{4} - 2816 x^{5} + 4096 x^{6}$ |
$3$ |
$0$ |
$6$ |
$2017$ |
simple |
3.16.ak_bl_adt |
$3$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 10 x + 37 x^{2} - 97 x^{3} + 592 x^{4} - 2560 x^{5} + 4096 x^{6}$ |
$3$ |
$0$ |
$7$ |
$2059$ |
simple |
3.16.ac_c_ar |
$3$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - x + 16 x^{2} )( 1 - x - 15 x^{2} - 16 x^{3} + 256 x^{4} )$ |
$3$ |
$0$ |
$15$ |
$3600$ |
1.16.ab $\times$ 2.16.ab_ap |
3.16.a_a_abv |
$3$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 + x + 16 x^{2} )( 1 - x - 15 x^{2} - 16 x^{3} + 256 x^{4} )$ |
$3$ |
$0$ |
$17$ |
$4050$ |
1.16.b $\times$ 2.16.ab_ap |
3.16.a_a_bv |
$3$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - x + 16 x^{2} )( 1 + x - 15 x^{2} + 16 x^{3} + 256 x^{4} )$ |
$3$ |
$0$ |
$17$ |
$4144$ |
1.16.ab $\times$ 2.16.b_ap |
3.16.c_c_r |
$3$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 + x + 16 x^{2} )( 1 + x - 15 x^{2} + 16 x^{3} + 256 x^{4} )$ |
$3$ |
$0$ |
$19$ |
$4662$ |
1.16.b $\times$ 2.16.b_ap |
3.16.k_bl_dt |
$3$ |
$\F_{2^{4}}$ |
$2$ |
$1 + 10 x + 37 x^{2} + 97 x^{3} + 592 x^{4} + 2560 x^{5} + 4096 x^{6}$ |
$3$ |
$0$ |
$27$ |
$7393$ |
simple |
3.16.l_cg_jf |
$3$ |
$\F_{2^{4}}$ |
$2$ |
$1 + 11 x + 58 x^{2} + 239 x^{3} + 928 x^{4} + 2816 x^{5} + 4096 x^{6}$ |
$3$ |
$0$ |
$28$ |
$8149$ |
simple |
3.23.aq_ey_abau |
$3$ |
$\F_{23}$ |
$23$ |
$( 1 - 8 x + 23 x^{2} )( 1 - 8 x + 41 x^{2} - 184 x^{3} + 529 x^{4} )$ |
$3$ |
$0$ |
$8$ |
$6064$ |
1.23.ai $\times$ 2.23.ai_bp |
3.23.al_dp_asj |
$3$ |
$\F_{23}$ |
$23$ |
$1 - 11 x + 93 x^{2} - 477 x^{3} + 2139 x^{4} - 5819 x^{5} + 12167 x^{6}$ |
$3$ |
$0$ |
$13$ |
$8093$ |
simple |
3.23.ad_at_fz |
$3$ |
$\F_{23}$ |
$23$ |
$1 - 3 x - 19 x^{2} + 155 x^{3} - 437 x^{4} - 1587 x^{5} + 12167 x^{6}$ |
$3$ |
$0$ |
$21$ |
$10277$ |
simple |
3.23.a_a_abo |
$3$ |
$\F_{23}$ |
$23$ |
$( 1 + 8 x + 23 x^{2} )( 1 - 8 x + 41 x^{2} - 184 x^{3} + 529 x^{4} )$ |
$3$ |
$0$ |
$24$ |
$12128$ |
1.23.i $\times$ 2.23.ai_bp |
3.23.a_a_bo |
$3$ |
$\F_{23}$ |
$23$ |
$( 1 - 8 x + 23 x^{2} )( 1 + 8 x + 41 x^{2} + 184 x^{3} + 529 x^{4} )$ |
$3$ |
$0$ |
$24$ |
$12208$ |
1.23.ai $\times$ 2.23.i_bp |
3.23.d_at_afz |
$3$ |
$\F_{23}$ |
$23$ |
$1 + 3 x - 19 x^{2} - 155 x^{3} - 437 x^{4} + 1587 x^{5} + 12167 x^{6}$ |
$3$ |
$0$ |
$27$ |
$13147$ |
simple |
3.23.l_dp_sj |
$3$ |
$\F_{23}$ |
$23$ |
$1 + 11 x + 93 x^{2} + 477 x^{3} + 2139 x^{4} + 5819 x^{5} + 12167 x^{6}$ |
$3$ |
$0$ |
$35$ |
$20707$ |
simple |
3.23.q_ey_bau |
$3$ |
$\F_{23}$ |
$23$ |
$( 1 + 8 x + 23 x^{2} )( 1 + 8 x + 41 x^{2} + 184 x^{3} + 529 x^{4} )$ |
$3$ |
$0$ |
$40$ |
$24416$ |
1.23.i $\times$ 2.23.i_bp |
3.25.az_kp_acpi |
$3$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{4}( 1 - 5 x + 25 x^{2} )$ |
$0$ |
$3$ |
$1$ |
$5376$ |
1.25.ak 2 $\times$ 1.25.af |